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valentinak56 [21]
3 years ago
12

Given that the straight line 2x + 3y-10=0 intersects the x - axis at P. Find the

Mathematics
1 answer:
tino4ka555 [31]3 years ago
3 0

Answer:

P(5, 0 )

Step-by-step explanation:

Where the line crosses the x- axis the y- coordinate of the point P is zero.

Substitute y = 0 into the equation and solve for x

2x + 3(0) - 10 = 0 , that is

2x - 10 = 0 ( add 10 to both sides )

2x = 10 ( divide both sides by 2 )

x = 5

Thus P = (5, 0 )

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Answer:

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Write an equation representing the pound of clay, c, that jamal from the example needs to make b bowls.
Inessa [10]

Answer:

8=2/3c

Step-by-step explanation:

Each bowl requires 2/3 pounds of clay

To make 8 bowls, Jamal needs 5 1/3 pounds of clay

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2 years ago
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c

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3 years ago
Standing in your tree house, 50 feet off the ground, you look down at a 60° angle and notice a frisbee. approximately how many
andrew11 [14]
Draw a diagram
assuming you are directly over the base of the tree

we need to find the ratio between the adjacent angle and oposite angle

adjacent angle is the disatnce from frisbee to base of tree
oposite angle is 50ft

so
tan=oposite/adjacent
tan(60°)=50/?
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6 0
3 years ago
Show that 2^2n-1 +1 is divisible by 3 for all n > 1.
lakkis [162]

Step-by-step explanation:

Let's assume that

P(n)\ =\ 2^{2n-1}+1 is divisible by 3.

for n= 1

P(1)\ =\ 2^{2.(1)-1}+1

       = 3

Hence, P(1) is true for n=1

for n=2

P(2)\ =\ 2^{2.(2)-1}+1

       = 9, which is divisible by 3.

As we can see, P(n) is also true for n= 2.

Let's say P(n) is true for n = k

So,

P(k)\ =\ 2^{2k-1}+1 is divisible by 3.

=>\ P(k+1)\ =\ 2^{2(k+1)-1}+1

                 =\ 2^{2k+1}+1

For P(n) should be true, the difference of P(k+1) and P(k) must will have divisible by 3.

So,

P(k+1)-P(k)\ =\ 2^{2k+1}+1-(2^{2k-1}+1)

                  =\ 2^{2k-1}(2^2-1)

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as P(k+1)-P(k) is divisible by 3.

As a result, P(n) is true for all n>1.

8 0
3 years ago
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